Date	Topic	Lecture	DDS	HW	Problems	Due
14-Jan	Examples & Modeling	Models	1.2-1.4	#1	Ch1:2,3,5,10,	1/25/08
16-Jan		Phase Plane, Nullclines	1.5-1.7		Ch2: 1,4,6,7,10abe
18-Jan	Linear Systems	Matrix ODEs	2.1
21-Jan	HOLIDAY
23-Jan		2D Systems, Exponentials	2.2-2.3
25-Jan		Solution Theorem, Complex Eigenvalues	2.4-2.5			HW 1 Due
28-Jan		Multiple Eigenvalues	2.6
30-Jan		Stability Theory	2.7	#2	Ch 2: 11,14, 15bd,19,23	2/13/08
1-Feb	David Simpson	Using Auto for ODEs			Ch 3:3,5,8
4-Feb		Floquet Theory	2.8
6-Feb	Existence & Uniqueness	Function Space Preliminaries	3.1
8-Feb		Existence & Uniqueness
11-Feb		Existence & Uniqueness II
13-Feb		Dependence upon initial conditions	3.4			HW 2 Due
15-Feb		Maximal Interval of Existence	3.5			Project selection
18-Feb	Dynamical Systems	Flows, Global Existence	4.1-3	#3	Ch 3: 11,12	2/29/08
20-Feb		Linearization & Stability	4.4		Ch 4:1a, 2b,3a-d,5, 8a, 9
22-Feb		Stability	4.5
25-Feb		Conjugacy	4.7
27-Feb		Hartman Grobman	4.8
29-Feb		Omega Limits	4.9			HW 3 Due
3-Mar		Attractors	4.10	#4	Ch 4:11,12,18	3/17/08
5-Mar		Periodic Orbits, Poincare Maps	4.11		Ch 5:1,3,4,8
7-Mar	Invariant Manifolds	Heteroclinic Orbits	5.1-2
10-Mar		Stable Manifolds I	5.3
12-Mar		Stable Manifolds II	5.4
14-Mar		Center Manifolds	5.6
17-Mar	Phase Plane	Nonhyperbolic Equiliibria	6.1-2			HW 4 Due
19-Mar		Centers	6.3
21-Mar		Symmetries	6.4			Project Lit. Rev.
24-Mar	SPRING BREAK
26-Mar	SPRING BREAK
28-Mar	SPRING BREAK
31-Mar	Chaos	Chaos	7.1	#5	Ch 7: 5,7,8,9,11abd	4/14/08
2-Apr		Lyapunov Exponents I	7.2
4-Apr		Lyapunov Exponents II
7-Apr		Strange Attractors	7.3
9-Apr		Fractals, Dimension
11-Apr		Strange, nonchaotic Attractors
14-Apr	Hamiltonian Systems	Conservative & Volume Preserving	9.1-2			HW 5 Due
16-Apr		Hamiltonian & Poisson Systems	9.3-4
18-Apr		Variational Formulation	9.5
21-Apr		Billiards
23-Apr		Lagrangian Systems	9.7
25-Apr		Symmetries & Equivalence	9.7, 9.9
28-Apr		Integrablity	9.12-13
30-Apr		Onset of Chaos	9.14
2-May	4:00-6:00	Student Project Lectures				Project Due
5-May	4:30-7:00	Student Project Lectures